Let fx=x+2x+1+2x-1. If fx=k has exactly one real solution, then the value of k is not equal to
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a
3
b
0
c
1
d
2
answer is B.
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Detailed Solution
Let fx=x+2x+1+2x-1 =x-2x+1-2x-1, x<-1x+2x+1-2x-1, -1≤x≤1x+2x+1+2x-1, x>1 =-3x, x<-1x+4, -1≤x≤15x, x>1Graph of y=fx is as shown.Clearly, y=k can intersect y=fxat exactly one point only if k=3